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vait vat du sey
Year
© VICTORIAN CURRICULUM AND ASSESSMENT AUTHORITY 2023
Version 2 – July 2023
MM FORMULA SHEET 2
Mathematical Methods formulas
Mensuration
area of a trapezium 1
2
a b h volume of a pyramid 1
3
Ah
curved surface area
of a cylinder 2π rh volume of a sphere
4
3
3 π r
volume of a cylinder π r 2h area of a triangle
1
2
bcsin A
volume of a cone 1
3
2 π r h
Calculus
d
dx
x nx n n 1 x dx
n
x c n n n
1
1
1 1 ,
d
dx
ax b an ax b n n
( ) 1 ( ) ( )
ax b dx ( ) , a n
ax b c n n n
1
1
1 1
d
dx
e ae ax ax e dx
a
e c ax ax 1
d
dx
x
x e log ( ) 1 1 0
x
dx x c x e log ( ) ,
d
dx sin (ax) c a a os( ) x sin (ax) c dx os( ) a ax c 1
d
dx cos (ax) = s a a in ( ) x cos (ax) s dx in ( ) a
ax c 1
d
dx
ax
a
ax
tan ( ) a ax
( ) = cos
sec ( ) 2
2
product rule d
dx
uv u
dv
dx
v
du
dx quotient rule d
dx
u
v
v
du
dx
u
dv
dx
v